Extensions of Hölder’s Inequality via Pseudo-Integral

Author:

Tian Jing-Feng1,Ha Ming-Hu23ORCID

Affiliation:

1. College of Science and Technology, North China Electric Power University, Baoding, Hebei Province 071051, China

2. School of Science, Hebei University of Engineering, Handan, Hebei Province 056038, China

3. College of Mathematics and Information Science, Hebei University, Baoding, Hebei Province 071000, China

Abstract

Hölder’s inequality and its various extensions are playing very important roles in many branches of modern mathematics and physics. In this paper, we present some extensions of Hölder’s inequality via pseudo-integral. Moreover, some related Hölder type inequalities are also given.

Funder

Major Basic Research Program of Hebei Foundation Research

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The Improvement of Hölder’s Inequality with r -Conjugate Exponents Relative to the L p -Norm;Mathematical Problems in Engineering;2021-04-30

2. New refinements for integral and sum forms of Hölder inequality;Journal of Inequalities and Applications;2019-11-29

3. Extensions and Applications of Power-Type Aczél-Vasić-Pečarić’s Inequalities;Mathematical Problems in Engineering;2019-07-07

4. Extensions and demonstrations of Hölder’s inequality;Journal of Inequalities and Applications;2019-04-08

5. N-tuple Diamond-Alpha integral and inequalities on time scales;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2018-11-30

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